Reconstructive correction of aberrations in nuclear particle spectrographs
- 1 February 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 47 (2) , 537-544
- https://doi.org/10.1103/physrevc.47.537
Abstract
A method is presented that allows the reconstruction of trajectories in particle spectrographs and the reconstructive correction of residual aberrations that otherwise limit the resolution. Using a computed or fitted high order transfer map that describes the uncorrected aberrations of the spectrograph, it is possible to calculate a map via an analytic recursion relation that allows the computation of the corrected data of interest such as reaction energy and scattering angle as well as the reconstructed trajectories in terms of position measurements in two planes near the focal plane. The technique is only limited by the accuracy of the position measurements, the incoherent spot sizes, and the accuracy of the transfer map. In practice the method can be expressed as an inversion of a nonlinear map and implemented in the differential algebraic framework. The method is applied to correct residual aberrations in the S800 spectrograph which is under construction at the National Superconducting Cyclotron Laboratory at Michigan State University and to two other high resolution spectrographs.Keywords
This publication has 6 references indexed in Scilit:
- Computational aspects of optics design and simulation: COSY INFINITYNuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1990
- Arbitrary order description of arbitrary particle optical systemsNuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1990
- Differential algebraic description and analysis of trajectories in vacuum electronic devices including space-charge effectsIEEE Transactions on Electron Devices, 1988
- Relations between elements of transfer matrices due to the condition of symplecticityNuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1985
- Non-Linear Optics for the Final Focus of the Single-Pass-ColliderIEEE Transactions on Nuclear Science, 1981
- Ultra-high resolution spectrometer system for charged particle studies of nucleiNuclear Instruments and Methods, 1971